Low-energy interactions of Nambu-Goldstone bosons with $D$ mesons in covariant chiral perturbation theory

TL;DR

This paper calculates scattering lengths of Nambu-Goldstone bosons with D mesons using covariant chiral perturbation theory, highlighting the importance of recoil corrections and comparing with previous approaches.

Contribution

It introduces a covariant formulation of chiral perturbation theory that respects heavy-quark spin symmetry and improves upon previous methods by including recoil effects.

Findings

Recoil corrections are significant in most cases.

The covariant approach aligns well with analytical properties of loop amplitudes.

Comparison shows notable differences from heavy meson chiral perturbation theory.

Abstract

We calculate the scattering lengths of Nambu-Goldstone bosons interacting with $D$ mesons in a covariant formulation of chiral perturbation theory, which satisfies heavy-quark spin symmetry and analytical properties of loop amplitudes. We compare our results with previous studies performed using heavy meson chiral perturbation theory and show that recoil corrections are sizable in most cases.